A Projected Power Method for Finding all Eigenvalues of A Real Matrix

It is proposed that seveal iterative forms of projected power method for finding all or partial eigenvalues and associated eigenvectors of a real matrix. The idea of the method presented in this paper is that the eigenvectors corresponding to calculated eigenvalues is removed in iterative sequence of approximate eigenvalues by projected matrix in iterative procedure, so that the sequence is convergening to eigenvalues other that given dominant one. Finally, we can find all eigenvalues and corresponding eigenvectors.